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Naya [18.7K]
3 years ago
12

Help!! - 2.10 - (4 points)

Mathematics
1 answer:
Brrunno [24]3 years ago
6 0

Answer:

Approach: Difference of Squares Pattern

4 {x}^{2}  - 25 = (2x - 5)(2x + 5)

Step-by-step explanation:

The given binomial is:

4 {x}^{2}  - 25

We can rewrite to obtain:

{(2x)}^{2}  -  {5}^{2}

This is a difference of two squares, so we will factor using difference of squares pattern.

Recall that:

{a}^{2} -  {b}^{2}   = (a + b)(a - )

If we let

a = 2x

and

b = 5

Then we can factor the given binomial to obtain:

{2x}^2 -  {5}^{2}  = (2x - 5)(2x + 5)

\therefore4 {x}^{2}  - 25 = (2x - 5)(2x + 5)

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I WILL GIVE BRAINLIEST TO WHO EVER TELLS ME THIS ANSWER ASAP
blondinia [14]

it is not because prime factorization is a number broken down by its prime factors

4 x 3 x 20 x 8 x 22 = 42240

the correct prime factorization of 42240 is  2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5 x 11


can i have brainliest

4 0
2 years ago
What is the fourth term in the binomial expansion of (2x – y) 7?
nata0808 [166]

Answer:

(7C4) (2x)^4 (-y)^{7-4}

And replacing we got:

35 (2^4) x^4 (-y)^{-3}

And then the final term would be:

-560 x^4 y^3

Step-by-step explanation:

For this case we have the following expression:

(2x-y)^7

And we can use the binomial theorem given by:

(x+y)^n =\sum_{k=0}^n (nCk) x^k y^{n-k}

And for this case we want to find the fourth term and using the formula we have:

(7C4) (2x)^4 (-y)^{7-4}

And replacing we got:

35 (2^4) x^4 (-y)^{-3}

And then the final term would be:

-560 x^4 y^3

8 0
2 years ago
Help, please
stich3 [128]

The width of the rectangle is 6.82 meters, while the length of the rectangle is 8.184 meters.

<h3>What is a rectangle?</h3>

A parallelogram in which adjacent sides are perpendicular to each other is called a rectangle. A rectangle is always a parallelogram and a quadrilateral but the reverse statement may or may not be true.

Let the width of the rectangle be x.

Given that a rectangular room is 1.2 times as long as it is wide. Therefore, the length is 1.2x.

Perimeter = 2(x + 1.2x)

30 meters = 2(2.2x)

30 = 4.4x

x = 6.82

Hence, the width of the rectangle is 6.82 meters, while the length of the rectangle is 8.184 meters.

Learn more about Rectangle:

brainly.com/question/15019502

#SPJ1

5 0
1 year ago
What is the value of \dfrac{x^2}{y^4}
Nimfa-mama [501]

Answer:

4

Step-by-step explanation:

x^2/ y^4

Let x=8 and y=2

8^2 / 2^4

PEMDAS says powers first

64 / 16

Divide next

4

3 0
2 years ago
Read 2 more answers
QUICK WHAT IS 3 2/5X 2 1/3
mote1985 [20]

Answer: 119/15 = 7 14/15

7 0
2 years ago
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